[試題] 97上 黃漢水 微甲上 第四次小考
課程名稱︰微積分(甲)上
課程性質︰大一共同必修
課程教師︰黃漢水
開課學院:生農學院.理學院.管院
開課系所︰生機系.生工系.地質系.工管系(科技管理組)
考試日期(年月日)︰2009/01/09
考試時限(分鐘):90 minutes
是否需發放獎勵金:yes,thanks
(如未明確表示,則不予發放)
試題 :
一.Find the following integrals:
2 2 4x^2 + x + 2
(1)∫tln(t+1)dt (20 points) (2)∫──────── dx (20 points)
0 1 x^2 + x^3
二.Let D be the region bounded by the curves y=2x^2 , y=x^3.
(1)Find the area of D. (20 points)
(2)Find the centroid of the region D. (20 points)
三.Let D be the region bounded by the curves y=e^x, y=1, x=1
Find the volume of the solid generated by revolving the region D about the
line y=1. (20 points)
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◆ From: 140.112.183.84
※ 編輯: NBASCIDM 來自: 140.112.183.84 (01/09 12:13)
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